Abstract

The Golden Ratio, also known as the Golden Section, exists as a proportion of lengths. Calculated to be approximately 1.61803, the Golden Ratio is closely related to the Fibonacci numbers and other topics in mathematics such as the continued fraction. In addition to its relationship to the Fibonacci numbers, the Golden Ratio is closely connected to many geometric shapes including the regular pentagon, the regular pentagram, certain rectangles, and the dodecahedron. Often thought to have an aesthetically pleasing effect, the Golden Ratio can be found in objects in nature, paintings, music composition, and musical instruments.

Advisor

Bowen, Jennifer

Department

Mathematics

Disciplines

Algebraic Geometry | Number Theory

Publication Date

2015

Degree Granted

Bachelor of Arts

Document Type

Senior Independent Study Thesis

Share

COinS
 

© Copyright 2015 Marjorie Rose E. Etheridge